TY - JOUR
T1 - Exploring the phase diagram of lattice quantum gravity
AU - Coumbe, Daniel
AU - Laiho, Jack
N1 - Funding Information:
This work was funded by STFC and the Scottish Universities Physics Alliance. Computing was done on Scotgrid and the DiRAC facility jointly funded by STFC and BIS.
Publisher Copyright:
© Copyright owned by the author(s).
PY - 2011
Y1 - 2011
N2 - We present evidence that a nonperturbative model of quantum gravity defined via Euclidean dynamical triangulations contains a region in parameter space with an extended 4-dimensional geometry when a non-trivial measure term is included in the gravitational path integral. Within our extended region we find a large scale spectral dimension of Ds (σ → ∞) = 4.04 ± 0.26 and a Hausdorff dimension that is consistent with DH = 4 from finite size scaling. We find that the short distance spectral dimension is Ds (σ → 0) ≈ 3/2, which may resolve the tension between asymptotic safety and holographic entropy scaling.
AB - We present evidence that a nonperturbative model of quantum gravity defined via Euclidean dynamical triangulations contains a region in parameter space with an extended 4-dimensional geometry when a non-trivial measure term is included in the gravitational path integral. Within our extended region we find a large scale spectral dimension of Ds (σ → ∞) = 4.04 ± 0.26 and a Hausdorff dimension that is consistent with DH = 4 from finite size scaling. We find that the short distance spectral dimension is Ds (σ → 0) ≈ 3/2, which may resolve the tension between asymptotic safety and holographic entropy scaling.
UR - http://www.scopus.com/inward/record.url?scp=85053286670&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85053286670&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:85053286670
SN - 1824-8039
VL - 139
JO - Proceedings of Science
JF - Proceedings of Science
T2 - 29th International Symposium on Lattice Field Theory, Lattice 2011
Y2 - 10 July 2011 through 16 July 2011
ER -